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zzr0ck3r Group TitleBest ResponseYou've already chosen the best response.2
.9999........ is not a number
 2 years ago

zzr0ck3r Group TitleBest ResponseYou've already chosen the best response.2
have you taken calculus?
 2 years ago

zzr0ck3r Group TitleBest ResponseYou've already chosen the best response.2
http://www.math.com/school/subject2/lessons/S2U2L1DP.html
 2 years ago

zzr0ck3r Group TitleBest ResponseYou've already chosen the best response.2
scroll down to number 4, its actaully an easy proof.
 2 years ago

zzr0ck3r Group TitleBest ResponseYou've already chosen the best response.2
you will enjoy calculus:)
 2 years ago

carson889 Group TitleBest ResponseYou've already chosen the best response.0
Here is an algebraic proof of it: 10x = 9.999999... with x = 0.99999... 10x  x = 9.99999...  0.999999... 9x = 9 Thus, x = 1
 2 years ago

zzr0ck3r Group TitleBest ResponseYou've already chosen the best response.2
This question was asked because I was trying to exaplin that inbetween any two numbers is another number, he then said what about .9999999.... and 1, i then tried to explain to him that .99999999.. was not a finite number, then we had this question posted:)
 2 years ago

zzr0ck3r Group TitleBest ResponseYou've already chosen the best response.2
there is no amount of 9's that you can write after .9 that will make it equal to 1, but the limit as the amount of 9's goes to infinity is said to equal 1
 2 years ago

ByteMe Group TitleBest ResponseYou've already chosen the best response.0
wait... doesn't 0.9999... = 9/10 + 9/100 + 9/1000 + .... an infinite bounded series?
 2 years ago

mayankdevnani Group TitleBest ResponseYou've already chosen the best response.2
The number "0.9999..." can be "expanded" as: 0.9999... = 0.9 + 0.09 + 0.009 + 0.0009 + ...
 2 years ago

zzr0ck3r Group TitleBest ResponseYou've already chosen the best response.2
lol, read this. then you will see the point of the question http://openstudy.com/study#/updates/50ab1ceee4b06b5e49334d38
 2 years ago

mayankdevnani Group TitleBest ResponseYou've already chosen the best response.2
So the formula proves that 0.9999... = 1.
 2 years ago

mayankdevnani Group TitleBest ResponseYou've already chosen the best response.2
@skullpatrol ok
 2 years ago

zzr0ck3r Group TitleBest ResponseYou've already chosen the best response.2
but .99999...is not a number is the point of this topic
 2 years ago

mayankdevnani Group TitleBest ResponseYou've already chosen the best response.2
0.999999..... is a no. we have tp prove that it is equal to 1
 2 years ago

zzr0ck3r Group TitleBest ResponseYou've already chosen the best response.2
its a number if you think about convergence, but you can never write 1 in the form .999999999999, read the last question and you will see the point im trying to make
 2 years ago

zzr0ck3r Group TitleBest ResponseYou've already chosen the best response.2
its not a finite number.... it can be looked at as a sequence....at infinity then its a number. I told him that between any two numbers is another number, he then said what about .99999999999..... and 1, this is what followed.
 2 years ago

zzr0ck3r Group TitleBest ResponseYou've already chosen the best response.2
Its an extended real number in the since that infinity is an extended real number....
 2 years ago

mayankdevnani Group TitleBest ResponseYou've already chosen the best response.2
"But", some say, "there will always be a difference between 0.9999... and 1." Well, sort of. Yes, at any given stop, at any given stage of the expansion, for any given finite number of 9s, there will be a difference between 0.999...9 and 1. That is, if you do the subtraction, 1 – 0.999...9 will not equal zero. But the point of the "dot, dot, dot" is that there is no end; 0.9999... is inifinte. There is no "last" digit. So the "there's always a difference" argument betrays a lack of understanding of the infinite. (That's not a "criticism", per se; infinity is a messy topic.)
 2 years ago

zzr0ck3r Group TitleBest ResponseYou've already chosen the best response.2
right and i dont think he has had calculus...
 2 years ago

zzr0ck3r Group TitleBest ResponseYou've already chosen the best response.2
this started with density of rational/irational and archimedes principle on the real line
 2 years ago

zzr0ck3r Group TitleBest ResponseYou've already chosen the best response.2
the point is, that there is an infinite amount of numbers between any two numbers a,b where a != b
 2 years ago

mayankdevnani Group TitleBest ResponseYou've already chosen the best response.2
hahhaha.. we are just fighting you and me are absolutely right...it's a skull problem..right??
 2 years ago

mayankdevnani Group TitleBest ResponseYou've already chosen the best response.2
right?? @zzr0ck3r
 2 years ago

zzr0ck3r Group TitleBest ResponseYou've already chosen the best response.2
This one might make him want to quit math The infinite amount of numbers between 0,1 is larger than the infinite amount of numbers between 0 and infinity.:)
 2 years ago

waterineyes Group TitleBest ResponseYou've already chosen the best response.0
0.9999 is approximately equal to 1 but it is not exactly equal.. \[0.999 \approx 1 \qquad \qquad (0.999 \ne 1)\]
 2 years ago

mayankdevnani Group TitleBest ResponseYou've already chosen the best response.2
got it @skullpatrol
 2 years ago

mayankdevnani Group TitleBest ResponseYou've already chosen the best response.2
this question...lol
 2 years ago

mayankdevnani Group TitleBest ResponseYou've already chosen the best response.2
http://www.math.hmc.edu/funfacts/ffiles/10012.5.shtml
 2 years ago

Zarkon Group TitleBest ResponseYou've already chosen the best response.1
can you provide a proof of this ... "This one might make him want to quit math The infinite amount of numbers between 0,1 is larger than the infinite amount of numbers between 0 and infinity.:)"
 2 years ago

zzr0ck3r Group TitleBest ResponseYou've already chosen the best response.2
no, my analysis teacher said it two days ago. she said the elemnts between 0 and 1 have more mappings than 0infinity
 2 years ago

Zarkon Group TitleBest ResponseYou've already chosen the best response.1
your teacher is either wrong or you have misquoted her
 2 years ago

Zarkon Group TitleBest ResponseYou've already chosen the best response.1
the real numbers between 0 and 1 is the same size as the real numbers from 0 to infinity
 2 years ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.0
\[1  0.999\cdots = 0.000\cdots = 0\]
 one year ago
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